A DETERMINANT FORMULA FOR RELATIVE CONGRUENCE ZETA FUNCTIONS FOR CYCLOTOMIC FUNCTION FIELDS

作者：Shiomi Daisuke^*

来源：Journal of the Australian Mathematical Society, 2010, 89(1): 133-144.

DOI：10.1017/S1446788710000261

• congruence zeta function
• cyclotomic function fields

Rosen gave a determinant formula for relative class numbers for cyclotomic function fields, which may be regarded as an analogue of the classical Maillet determinant. In this paper, we give a determinant formula for relative congruence zeta functions for cyclotomic function fields. Our formula may be regarded as a generalization of the determinant formula for the relative class number.

• 出版日期2010-8